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14 Wilson's Theorem

EBook Name14 Wilson's Theorem
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EBook Description: Wilsonís Theorem is elegant. It is not very useful, but like a lot of other people, I like it. So that is why it is here. Consider an integer n > 1. If the integer n-1! + 1 is divided by any number from 2 to n-1, it yields a remainder of 1.

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15 Counting

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16 Multinomials

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17 Stirling Numbers of the Second Type

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18 Matrices

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19 Boolean Algebra

It has been known for sometime in mathematics that set algebras and Boolean1 algebras are different perspectives on the same thing. The treatment of sets here is informal and is known as naive set theory. Most of the time naive set theory is sufficient for the purposes of even professional mathematicians.

20 Probability and the Law of Addition

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21 PIE

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23 The Law of Multiplication

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24 The Bonferroni Inequality

1By far its most useful application is in joint confidence intervals. The inequality gives you a confidence interval without assuming independence of the various parameters. It usually turns out at around 95% confidence that the confidence region isnít much smaller than with the assumption of independence.

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